Mathematics, Analytics and Computing Entity MACoE We apply Mathematics for a better tomorrow
Publications:
Number Theory and Algebra
V.P. Ramesh and M. Makeshwari, A Primitive Root p of 2p+1 is a Sophie Germain Prime, The American Mathematical Monthly (accepted and to appear)
V.P. Ramesh, R. Gowtham and Saswati Sinha, A Note on Cubic Residues Modulo n, Indian
Journal of Pure and Applied Mathematics (INSA), doi: https://doi.org/10.1007/s13226-022-00230-z (2022)
V.P. Ramesh and M. Makeshwari, On the primality of the least primitive root of safe primes, The American Mathematical Monthly (accepted and to appear)
V.P. Ramesh, M. Makeshwari, M. Prithvi and R. Thatchaayini, Identities from Partition of the Symmetric group S_n , Modular Forms and Related Topics in Number Theory, Springer Proc. Math. Stat., Book Chapter, ISSN 2194-1009, ISSN (electronic) 2194-1017
V. P. Ramesh, Makeshwari M and Thatchaayini
R,Non-Wieferich primes and generators of p, JP Journal of Algebra, Number Theory and Applications,
ISSN: 0972-5555 (to appear)
V.P. Ramesh and Gowtham R, Asymptotic Notations and its Applications, The Ramanujan
Mathematical Society (RMS): Mathematics Newsletter, Vol. 28, #4, 10-16, June-September 2017.
Numerical Analysis / Numerical Linear Algebra
Gajendra Babu, M Prithvi, Kapil Sharma, V. P. Ramesh, A Robust Numerical Algorithm on Harmonic Mesh for Parabolic Singularly Perturbed Convection-Diffusion Problems with
Time Delay , Numerical Algorithms (accepted and to appear)
International Conference Presentations / Publications:
A generalization of Sophie Germain primes in the direction of primitive roots, Modular
forms: an online conference in honour of Prof. B. Ramakrishnan's 60th birthday, IMSc Chennai
(September 17-19, 2021)
A priori mesh refinement strategy for singularly perturbed turning point problem, The
International Conference on Numerical Analysis and Optimization (NAOV-2020), Sultan Qaboos
University, Oman (6th-9th January, 2020)
Uniformly convergent scheme for delay parabolic differential equation on a rectangular domain, International Workshop and Conference on Mathematical Analysis and Computation,
National Institute of Technology, Trichy (2nd-6th December, 2019)
Various a priori estimates for boundary layers : comparison study,
Minisymposia: Robust Numerical Methods for Singular Perturbation Problems, 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019),
Universitat de Valncia, Spain, 15th-19th July, 2019.
A new a priori estimation of layer region for singularly perturbed boundary value problems, 9th International Congress on Industrial and Applied Mathematics (ICIAM-2019),
Universitat de Valncia, Spain, 15th-19th July, 2019.
A note on arithmetic functions on estimating the boundary layer, 4th International Conference on Recent Developments in Theory, Computation and Application of Differential Equations,
South Asian University, New Delhi, 21st-23rd January, 2019.
Counting the Sudoku Problems through a new notation, International Conference on Algebra and Number Theory (CANT-2018),
Central University of Tamil Nadu, Thiruvarur, 16th-17th December, 2018.
A lower bound for the number of generators of p^l for all l ≥ 1, International Conference on NumberTheory,
Kerala School of Mathematics, Kozhikode, 10th-14th December, 2018.
Harmonic function to estimate the boundary/interior layer, International Conference on Mathematical Modelling and Computation,
South Asian University, New Delhi, 1st-3rd December, 2018.
A new layer resolving mesh, 84th Annual Conference of Indian Mathematical Society - An international meet,
Shri Mata Vaishno Devi Univeristy, Jammu, 27th-30th November, 2018.
A note on Normal Sequences in Finite Abelian Group, The 33rd Annual Conference of The Ramanujan Mathematical Society,
University of Delhi, 1st-3rd June, 2018.
A recursive relation for the computation of generators of p, International Conference on Non-linear Differential Equations:Theory, Modelling and Computations,
SRM University, 8th-9th December, 2017.
Modified S(l) mesh: a non-uniform mesh for singularly perturbed convection-diffusion problem, International Conference on Current Trends in Theoretical and Computational Differential
Equations with Applications,
South Asian University, New Delhi, 1st-5th December, 2017.
Mathematics to Analyse the limitations of Machines on Problem Solving: Sudoku and
Complexity of Sudoku, Combinatorics and Number Theory Meet,
Harish-Chandra Research Institute, Allahabad, 19th-23rd February, 2017.
Is P=NP? Permutations and its applications to Sudoku, International Conference on Advances in Scientific Computing,
Indian Institute of Technology Madras, India, 28th-30th November, 2016.
Permutation and its applications to Sudoku: A new theory, International Conference on Mathematical Modelling, Differential Equations, Scientific Computing & Applications,
Indian Institute of Technology Kanpur, 27th-29th March, 2016.
Health Care Big Data Analytics - Predicting Diabetes, International Conference on Big Data Analytics - SAMAROH 2016,
Hyderabad, 11th-12th February, 2016.
Numerical algorithm for a model of neuronal variability, 6th International Congress on Industrial and Applied Mathematics (ICIAM-2007),
Zurich, Switzerland, 16th-20th July, 2007.
Higher order finite difference methods for second order singularly perturbed delay differential equations, SIAM (Society for Industrial and Applied Mathematics) conference on Computational Science and Engineering,
Costa Mesa, California, U.S.A., 19th-23rd February, 2007.
Higher order methods with suitable mesh for numerical solution of singularly perturbed
delay differential equations, 14th International Conference of the Forum for Interdisciplinary Mathematics,
Indian Institute of Technology Madras, 6th-8th January, 2007.
If you have similar interest and want to chat with us, feel free to drop in through vpramesh@gmail.com